Least Common Multiple of 9528 and 9532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9528 and 9532 the smallest integer that is 22705224 that is divisible by both numbers.

Least Common Multiple (LCM) of 9528 and 9532 is 22705224.

LCM(9528,9532) = 22705224

LCM of 9528 and 9532

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9528 and 9532

LCM of 9528 and 9532 is 22705224

Least common multiple can be found by multiplying the highest exponent prime factors of 9528 and 9532. First we will calculate the prime factors of 9528 and 9532.

Prime Factorization of 9528


2 9528
2 4764
2 2382
3 1191
397 397
1

Prime factors of 9528 are 2, 3,397. Prime factorization of 9528 in exponential form is:

9528 = 23×31×3971

Prime Factorization of 9532


2 9532
2 4766
2383 2383
1

Prime factors of 9532 are 2,2383. Prime factorization of 9532 in exponential form is:

9532 = 22×23831

Now multiplying the highest exponent prime factors to calculate the LCM of 9528 and 9532.

LCM(9528,9532) = 23×31×3971×23831
LCM(9528,9532) = 22705224

Factors of 9528

List of positive integer factors of 9528 that divides 9528 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 397, 794, 1191, 1588, 2382, 3176, 4764, 9528

Factors of 9532

List of positive integer factors of 9532 that divides 9532 without a remainder.

1, 2, 4, 2383, 4766, 9532

Least Common Multiple of 9528 and 9532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9528 and 9532, than apply into the LCM equation.

GCF(9528,9532) = 4
LCM(9528,9532) = ( 9528 × 9532) / 4
LCM(9528,9532) = 90820896 / 4
LCM(9528,9532) = 22705224

Properties of LCM 9528 and 9532

(i) The LCM of 9532 and 9528 is associative

LCM of 9528 and 9532 = LCM of 9532 and 9528

Related Least Common Multiples of 9528

Related Least Common Multiples of 9532

Frequently Asked Questions on LCM of 9528 and 9532

1. What is the LCM of 9528 and 9532?

Answer: LCM of 9528 and 9532 is 22705224.

2. What are the Factors of 9528?

Answer: Factors of 9528 are 1, 2, 3, 4, 6, 8, 12, 24, 397, 794, 1191, 1588, 2382, 3176, 4764, 9528. There are 16 integers that are factors of 9528. The greatest factor of 9528 is 9528.

3. What are the Factors of 9532?

Answer: Factors of 9532 are 1, 2, 4, 2383, 4766, 9532. There are 6 integers that are factors of 9532. The greatest factor of 9532 is 9532.

4. How to Find the LCM of 9528 and 9532?

Answer:

Least Common Multiple of 9528 and 9532 = 22705224

Step 1: Find the prime factorization of 9528

9528 = 2 x 2 x 2 x 3 x 397

Step 2: Find the prime factorization of 9532

9532 = 2 x 2 x 2383

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 22705224 = 2 x 2 x 2 x 3 x 397 x 2383

Step 4: Therefore, the least common multiple of 9528 and 9532 is 22705224.